A fast algorithm for solving first-order PDEs by L1-minimization
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In this paper, we state a convergence result for an L1-based finite element approximation technique in one dimension. The proof of this result is constructive and provides the basis for an algorithm for computing L1-based almost minimizers with optimal complexity. Several numerical results are presented to illustrate the performance of the method. 2008 International Press.
Communications in Mathematical Sciences
author list (cited authors)
Guermond, J., Marpeau, F., & Popov, B.
complete list of authors
Guermond, Jean-Luc||Marpeau, Fabien||Popov, Bojan